Question

Carlos graphed the system of equations that can be used to solve x cubed minus 2 x squared 5 x minus 6 = negative 4 x squared 14 x 12. On a coordinate plane, 2 functions are shown. The functions intersect at (negative 3, negative 66), (negative 2, negative 32), and (3, 18) What are the roots of the polynomial equation? –3, –2, 3 –3, 2 18, 32 18, 32, 66

Answer 1

The roots of the polynomial equation are –3, –2, 3.

Step-by-step explanation:

The given equation is

$x^3-2x^2+5x-6=-4x^2+14x+12$

Write the equation in the form of system of equations. The system of equations is

$f(x)=x^3-2x^2+5x-6$

$g(x)=-4x^2+14x+12$

It is given that the functions intersect at (-3, -66), (-2,-32), and (3, 18).

x-coordinates of the intercepts are the roots of the polynomial equation.

The x-coordinates of the intercepts are -3, -2 and 3.

Therefore, the roots of the polynomial equation are –3, –2, 3.

#Learn more

GIVEN THAT X-ROOT 5 IS A FACTOR OF THE CUBIC POLYNOMIAL X3 -3 ROOT 5 X2+13 X -3 ROOT 5 FIND ALL THE ZEROES OF THE POLYNOMIAL.

https://brainly.in/question/394221

Find the number of zeroes of a polynomial p(x) from the graph given

https://brainly.in/question/6023010

Answer 2

The correct answer is A, or -3,-2, 3

Just got it right on the edge 2020 test, hope this helps!! :)